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Gravitation and Satellite Orbit

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Planet X rotates in the same manner as the earth, around an axis through its north and south poles, and is perfectly spherical. An astronaut who weighs w on the earth weighs w_1 at the north pole of Planet X and only w_2 at its equator. The distance from the north pole to the equator is L, measured along the surface of Planet X.

If a m satellite is placed in a circular orbit h above the surface of Planet X, what will be its orbital period?

Take free fall acceleration on Earth to be g.

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Solution Summary

This solution contains step-by-step explanations and calculations to determine the orbital period of the satellite above the surface of planet X.

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